Simplify the expression.

r8 (ra)-3 (write without negative exponent) =

Answer:

Y'(-5, 5)

Step-by-step explanation:

To find the coordinates of Y' after the translation, we apply the given rule to the coordinates of point Y(-3, 4).

Using the translation rule (x, y) → (x - 2, y + 1), we can substitute the coordinates of Y(-3, 4) into the rule:

x' = x - 2 = -3 - 2 = -5

y' = y + 1 = 4 + 1 = 5

Therefore, the coordinates of Y' are (-5, 5).

Answer:

A

Step-by-step explanation:

If the equation of the line is written in slope-intercept form, y = mx + b then the value of b will be -21; the correct answer is option A.

Slope tells how vertical a line is.

The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.

To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.

This is because the more the height of the line to thee amount we walk or run on the horizontal axis, the more the slope is. That is why we took difference of horizontal axis in denominator and difference of vertical axis on numerator.

Formula for slope, thus, is;

Slope = (y₂ - y₁) / (x₂ - x₁)

Parameters;

J(-4, -5) and K(-6, 3)

= (3 - (-5)) / (-6 - (-4))

= (3 + 5) / (-6 + 4)

= 8 / -2

= -4

Substitute one of the coordinates into the formula to solve for b

y = mx + b

y = -4x + b

3 = -4(-6) + b

3 = 24 + b

3 - 24 = b

b = - 21

Read more about Slope of a line here

brainly.com/question/20848

#SPJ6

Answer:

Hypothesis: If the temperature gets below normal the pool will be closed.

Conclusion: As a result of the temperature dropping below the regular or room temperature needed in order to be used the pool will be closed.

Step-by-step explanation:

Answer:

Hypothesis: If the temperature gets below normal the pool will be closed.

Conclusion: As a result of the temperature dropping below the regular or room temperature needed in order to be used the pool will be closed

Step-by-step explanation:

The net change of the function f(t) = t^2 - 3t between t = 4 and t = 4 + h is h^2 + 5h, and the average rate of change over this same interval is h + 5.

The net change of a function is the overall change in its output value over a given interval. In this case, we are given the function f(t) = t^2 - 3t and asked to determine the net change and average rate of change between t = 4 and t = 4 + h.
To find the net change, we need to evaluate the function at the two endpoints and subtract the smaller value from the larger value. Thus, we have:
f(4 + h) - f(4) = [(4 + h)^2 - 3(4 + h)] - [4^2 - 3(4)]
= [16 + 8h + h^2 - 12 - 3h] - [16 - 12]
= h^2 + 5h
Therefore, the net change of the function between t = 4 and t = 4 + h is given by h^2 + 5h.
Next, we need to find the average rate of change of the function over this same interval. The average rate of change is the slope of the line connecting the two endpoints of the interval. We can find this slope by using the formula:
average rate of change = (f(4 + h) - f(4)) / h
Plugging in the expression for f(t), we get:
average rate of change = [(4 + h)^2 - 3(4 + h) - (4^2 - 3(4))] / h
= (h^2 + 5h) / h
= h + 5
Therefore, the average rate of change of the function between t = 4 and t = 4 + h is given by h + 5.
In summary, the net change of the function f(t) = t^2 - 3t between t = 4 and t = 4 + h is h^2 + 5h, and the average rate of change over this same interval is h + 5.

Learn more about average rate here

https://brainly.com/question/24313700

#SPJ11

the optimal solution to maximize Z is x1 = 25 and x2 = 0, with Z = 3000.

To solve the given linear programming model graphically, we need to plot the feasible region and identify the corner points to find the optimal solution. Here's the step-by-step process:

1. Plot the constraints:

  - Plot the line x1 = 40 (vertical line at x1 = 40).

  - Plot the line x2 = 10 (horizontal line at x2 = 10).

  - Plot the line 20x1 + 10x2 = 500 (which can be rewritten as 2x1 + x2 = 50).

  - Shade the feasible region that satisfies all the constraints.

2. Identify the corner points:

  - Determine the coordinates of the corner points where the boundary lines intersect.

3. Evaluate the objective function:

  - Calculate the value of the objective function Z = 120x1 + 80x2 for each corner point.

4. Determine the optimal solution:

  - Select the corner point that maximizes the objective function Z.

Here's the graphical representation of the feasible region:

      |

 40   |           C

      |          /

      |         /

      |        /

      |       /

      |      /

      |     /    Feasible Region

 10   |_____/_________________

      0   10  20  30  40  50

            0`

The corner points of the feasible region are:

A: (0, 0)

B: (0, 10)

C: (25, 0)

D: (20, 5)

Now, we evaluate the objective function Z = 120x1 + 80x2 for each corner point:

Z(A) = 120(0) + 80(0) = 0

Z(B) = 120(0) + 80(10) = 800

Z(C) = 120(25) + 80(0) = 3000

Z(D) = 120(20) + 80(5) = 2400

From the above calculations, we can see that the maximum value of Z occurs at point C: (25, 0).

To know  more about function visit:

brainly.com/question/30721594

#SPJ11

Answer:

m=3

Step-by-step explanation:

subtract the e from both sides so you now have 15=5m divide each by 5 and you get 3=m

Answer:

m = 3

Step-by-step explanation:

-5m + 18 = 3

-5m = 3 - 18

-5m / -15 = 3

Answer: m = 3

Hope this helped

Brainliest is aprreciated.

Answer:

124

Step-by-step explanation:

Multiply 60 by 132. You get 7920.

Now multiply 8 by 8. You get 64.

Divide 7920 by 64. You get 123.75.

SInce the question asks for whole tiles we can't buy 0.75 of a tile, so she could just get one more to fill in that 0.75. That would be 124.

The minimum number of pizzas that john must deliver to earn back the money he spent on the car he bought  is 715 pizzas   .

In the question,

it is given that ,

the amount for which John bought the used car for pizza delivery = $5000

the amount John gets for 1 pizza he delivers = $10

the amount John spend on gas for 1 pizza he delivers = $3

So , the amount that John earned for 1 pizza delivered is = 10 - 3 = $7 .

the number of pizza required to sell = (price of car)/(amount earned from 1 pizza)

Substituting the values , we get

number of pizza required to sell = 5000/7 = 714.2857

rounding the answer to  whole number ,

we get

= 715 pizzas

Therefore , The minimum number of pizzas that John must deliver to earn back the money he spent on the car he bought  is 715 pizzas   .

The given question is incomplete , the complete question is

John recently bought a used car for $5000 for his pizza delivery job. he gets $10 for each pizza he delivers, but he has to spend $3 on gas for each pizza he delivers. what is the minimum whole number of pizzas john must deliver in order to earn back the money he spent on the car he bought ?

Learn more about Division here

https://brainly.com/question/14625834

#SPJ4

Answer:

c

Step-by-step explanation:

in order for it to be a triangle the smaller sides have to add up to be greater than the longest side

for a 5+14=19 so that is not a triangle because the  side dont add up to be greater than 19

for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24

for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side

for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24

Answer:

a<\(21 \frac{1}{3} \)

Step-by-step explanation:

\( \frac{3}{4} \)a>16

a<\( \frac{64}{3} \)

a<\(21 \frac{1}{3} \)

Answer:

You on? I’m bored! You- you on? I’m bored

Step-by-step explanation:

False, every component of the matrix is multiplied by the same amount when you multiply a matrix by a number. A new matrix is created by this operation; it is known as a scalar multiple.

A rectangular matrix is a grouping of numbers in rows and columns. A matrix element/entry is the term used to describe each number in the matrix. The combination of a real number and a matrix is referred to as scalar multiplication.

Each entry/element of the matrix is multiplied by the specified scalar in scalar multiplication. Comparatively, matrix multiplication describes the result of two matrices. This operation is totally different. We can't just multiply the corresponding entries in two matrices to multiply them.

The first matrix must have exactly as many columns as the second matrix has rows in order to perform matrix multiplication. The resulting matrix has the same number of columns and rows as the second matrix, and its number of columns matches the number of rows in the first matrix.

To learn more about matrix multiplication: https://brainly.com/question/24274686

#SPJ4

Answer:

y = (2/9)x - 41/9

Step-by-step explanation:

Equation of a straight line is y – y1 = m (x – x1), where y1 and x1 are the coordinates of a given point.

y - (-5) = (2/9) (x - (-2))

y + 5 = (2/9) (x + 2)

y = (2/9)x + (2/9)2 - 5

y = (2/9)x + (4/9) - 5.

5 = 45/9.

y = (2/9)x + (4/9) - (45/9)

y = (2/9)x - 41/9

If  bag contains 26 letters and 10 numerals, the probability of drawing 2 numerals is 1/14.

To calculate the probability of Robin drawing 2 numerals, you need to consider the total number of cards and the number of numerals. There are 26 letters and 10 numerals, making a total of 36 cards in the bag.

For the first draw, there are 10 numerals out of 36 cards, so the probability is 10/36. After drawing one numeral, there are now 9 numerals and 35 cards remaining. The probability of drawing a second numeral is 9/35.

To find the overall probability of drawing 2 numerals, multiply the individual probabilities: (10/36) * (9/35) = 90/1260.

Simplifying the fraction, the probability of drawing 2 numerals is 1/14.

More on probability: https://brainly.com/question/31305860

#SPJ11

In order for a graph to be considered a time series graph, it must have a series of data points that are displayed in chronological order over a period of time.

Graph is a data structure which is used to represent a set of connected objects. It is composed of nodes and edges which represent the relationships between the objects. Graphs are used to represent different types of data such as networks, trees, and more. They can be used to model different types of relationships such as relationships between people, objects, and even ideas. Graphs are also used in a variety of applications including route-finding, graph theory, and data mining.

This means that the data must be plotted on the graph according to when it was collected, with the earliest data points on the left and the most recent data points on the right. The data points must be consistently spaced apart; for example, if the data points represent daily measurements, then the data points should be one day apart. Additionally, the graph should show the overall trend of the data over the period of time. Ideally, the graph should also show the variability of the data points over the period of time.

To know more about graph click-
https://brainly.com/question/19040584
#SPJ1

Answer:

Step-by-step explanation:

Be cool

A Poisson random variable represents the number of occurrences of an event in a fixed interval of time or space. It is a discrete random variable, which means that it can only take on integer values, starting from zero. Therefore, the smallest numerical value that a Poisson random variable can be is zero.

This means that there is a possibility that the event will not occur at all during the given interval. For example, if we are counting the number of customers who visit a store in an hour, it is possible that no customers show up during that hour, resulting in a Poisson random variable of zero.

However, the probability of this occurring depends on the average rate of the event occurring, which is denoted by the parameter λ in the Poisson distribution. The larger the value of λ, the smaller the probability of a Poisson random variable being zero.

To know more about Poisson refer here

https://brainly.com/question/30388228#

#SPJ11

Number of Writers and authors with bachelor's degree more than those with only some college experience and no degree is Option b: 109701

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

For the given case, it is specified that:

Let we have:

writers and authors with bachelor’s degree = N + writers and authors with some college experience and no degree

(so the number of writers and authors with bachelor’s degree is N more than writers and authors with some college experience but no degree)

Number of writers and authors with bachelor's degree = 12.4% of 153000

which is \(\dfrac{153000}{100} \times 12.4 = 18972\)

Number of writers and authors with some college experience but no degree = 84.1% of 153,000 which is \(\dfrac{153000}{100} \times 84.1 = 128673\)

Thus,

128,673 = N + 18972

or

N = 128,673 - 18972= 109,701

Thus,

Number of Writers and authors with bachelor's degree more than those with only some college experience and no degree is Option b: 109701

Learn more about percentage here:

https://brainly.com/question/11549320

Answer: B

Step-by-step explanation: its B

Answer:

its a c and d

Step-by-step explanation:

There is a 50% chance that the person selected is female.

Let's assume that there are 50 students in the class and of them, 25 are female and 25 are male.

The probability that the person selected is female will be calculated by the formula P(Female) = 25/50 = 0.5

Therefore, the probability that the person selected is female is 0.5 or 50%. This means that if a person is randomly selected from the front, middle portion of the class, there is a 50% chance that the person selected is female.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ4

Complete question:

What is the gender ratio of the people in the class?

Answer:

a = \(\sqrt{68}\) = 8.2

Step-by-step explanation:

Look at picture ↓

\(Hope\) \(this\) \(helps!\) \(:)\)

Answer:

60

Step-by-step explanation:

You have the proper formula. You just need to swap some things around so we aren't solving for C. C is always the hypotenuse, the diagonal line opposite the right triangle. A and B can be either side unless specified.

1. The side we're solving for can either be called a or b. Let's call it A.

2. Now, switch around the theorem to solve for a: \(C^2-B^2=A^2\\\)

3. Plug in what we know: \(8^2-2^2=a^2\)

4. It simplifies down to \(60=a^2\)

5. The  "\(a^2\) " means to square the a. We need to undo that to get a by itself. The opposite of squared is the square root

6. This leaves us to take the square root of both sides, which isolates a.

7. \(\sqrt{60}\) is the answer. It's asking for it in the square root so we don't need to simplify it.

since r is so widely used, it is appropriate to calculate r for nonlinear data: False.

The calculation of r (Pearson's correlation coefficient) is based on the assumption that the relationship between the two variables is linear. Therefore, it is not appropriate to calculate r for nonlinear data as it may give misleading results.

In summary, it is not appropriate to calculate r for nonlinear data as it assumes a linear relationship between the variables. Other methods such as Spearman's rank correlation or Kendall's tau may be used for nonlinear data.


n: The correlation coefficient 'r' is specifically designed to measure the strength and direction of a linear relationship between two variables. While it is widely used, calculating 'r' for nonlinear data is not appropriate, as it will not accurately capture the true nature of the relationship between the variables.

When dealing with nonlinear data, it is better to use other statistical methods designed for such data, rather than relying on the correlation coefficient 'r'.

To know more about nonlinear, visit:

https://brainly.com/question/31510530

#SPJ11

Answer:

12

Step-by-step explanation:

Equation:

\(9 /\frac{3}{4}\) \(=x\)

\(12=x\)

Check!

\(12(\frac{3}{4} )=9\)

Therefore, the greatest number of file boxes that can be stacked is 12.

The girls did break the school's record, and they were 78/5 minutes slower than the record time.

To determine whether the girls broke the school's record, we need to calculate their total time and compare it to the record time.

From the chart, we can see that Barbara's time is 3 minutes, Donna's time is 10 minutes, Cindy's time is 2 minutes, and Nicole's time is 5 minutes.

To calculate the total time, we sum up the individual times:

Total time = Barbara's time + Donna's time + Cindy's time + Nicole's time

= 3 + 10 + 2 + 5

= 20 minutes

The school's record time is given as 2 12/5 minutes. To compare the two times, we need to convert the record time to a common denominator.

\(2 12/5 minutes = (2 \times 5 + 12)/5 minutes = 22/5 minutes\)

Now we can compare the total time with the record time:

Total time = 20 minutes

Record time = 22/5 minutes

Since the girls' total time of 20 minutes is less than the record time of 22/5 minutes, we can conclude that they did break the school's record.

To determine how much faster they were, we subtract the total time from the record time:

Record time - Total time = 22/5 - 20

= 22/5 - 100/5

= (22 - 100)/5

= -78/5

The result is -78/5, which means they were 78/5 minutes slower than the record time.

For more such questions on record time

https://brainly.com/question/29090253

#SPJ8

Answer:

Solution given:

For bank A.

rate[R]=6.85%

principal [P]=$5000

time [T]=3years

now since simple interest is given by this bank

we have

Simple interest=PTR/100

=5000×6.85×3/100=$1027.5

For bank B

rate[R]=6.85%

principal [P]=$5000

time [T]=3years

now since compound interest is given by this bank

we have

compound interest=P((1+R/100)^T-1)

=$5000((1+6.85/100)³-1)=$1099.49

since

Bank B gives more interest .more amount is

1099.49-1027.5=$71.99 or $72

Answer:

Answer:

A) No, because it only reaches 11.8 meters B) 2.9362 seconds :)

Step-by-step explanation:

Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise